what's the difference between the philosophy of KANT and the philosophy of Karl Jaspers?

Answer 1

Jaspers was a proponent of Kantian Philosophy during a time when the prevailing thinkers were moving away from Kant. Even though he was staunch in his defense of Kant, there were differences. Among those differences was a maturing of the way transcendental ideas were viewed. Jasper took Kant's notion that ideas marked the limits of knowledge and saw ideas instead as impulses for reason to overcome its limits and be aware of itself, its contents and its possibilities.

The Stanford Encyclopedia of Philosophy has an extensive article on Jaspers that discusses his affinity for and defense of Kant along with the subtle differences.

Answer 2

Karl Japsers' Philosophy is mainly based on the opinions and views of Emmanuel Kant; we would say that Jaspers is the disciple of Kant in that matter.